340=n(n-3)

Solution for 340=n(n-3) equation:

Simplifying
340 = n(n + -3)

Reorder the terms:
340 = n(-3 + n)
340 = (-3 * n + n * n)
340 = (-3n + n2)

Solving
340 = -3n + n2

Solving for variable 'n'.

Reorder the terms:
340 + 3n + -1n2 = -3n + 3n + n2 + -1n2

Combine like terms: -3n + 3n = 0
340 + 3n + -1n2 = 0 + n2 + -1n2
340 + 3n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
340 + 3n + -1n2 = 0

Factor a trinomial.
(20 + -1n)(17 + n) = 0

Subproblem 1
Set the factor '(20 + -1n)' equal to zero and attempt to solve:

Simplifying
20 + -1n = 0

Solving
20 + -1n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + -1n = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1n = 0 + -20
-1n = 0 + -20

Combine like terms: 0 + -20 = -20
-1n = -20

Divide each side by '-1'.
n = 20

Simplifying
n = 20
Subproblem 2
Set the factor '(17 + n)' equal to zero and attempt to solve:

Simplifying
17 + n = 0

Solving
17 + n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + n = 0 + -17

Combine like terms: 17 + -17 = 0
0 + n = 0 + -17
n = 0 + -17

Combine like terms: 0 + -17 = -17
n = -17

Simplifying
n = -17
Solution
n = {20, -17}